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Finding the Third Proportional to 20,668.50 and 30,957

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Solution

The third proportional to 20,668.50 and 30,957 is: 46,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.50 : 30,957 = 30,957 : x
  2. Step 2: Convert to fraction form
    20,668.50/30,957 = 30,957/x
  3. Step 3: Cross multiply
    20,668.50x = 30,957 × 30,957
  4. Step 4: Simplify right side
    20,668.50x = 958,335,849
  5. Step 5: Solve for x
    x = 958,335,849/20,668.50
  6. Step 6: Final answer
    x = 46,366.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.